42900385618944 has 3168 divisors, whose sum is σ = 169645665408000. Its totient is φ = 10642906939392.

The previous prime is 42900385618933. The next prime is 42900385618999. The reversal of 42900385618944 is 44981658300924.

42900385618944 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 0 + 3 + 8 + 5 + 618 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 543042855897 + ... + 543042855975.

Almost surely, 2^{42900385618944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42900385618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84822832704000).

42900385618944 is an abundant number, since it is smaller than the sum of its proper divisors (126745279789056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42900385618944 is a wasteful number, since it uses less digits than its factorization.

42900385618944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 42900385618944 in words is "forty-two trillion, nine hundred billion, three hundred eighty-five million, six hundred eighteen thousand, nine hundred forty-four".